SOME PROPERTIES OF SOFT b-I-COMPACT AND SOFT GENERALIZED b-I-COMPACT TOPOLOGICAL SPACE

Abstract

The main object of this paper is to study the relation between some types of weak soft compactness and soft ideals. We initiate new types of soft compactness modulo an soft ideal that generalize the concepts soft b-I-compact, we study some of their properties and characterizations. This paper, not only can form the theoretical basis for further applications of topology on soft sets, but also lead to the development of information systems.

Keyword: Soft set, Soft topological space, Soft interior, Soft closure, Soft b-I-Compact space, Soft b-closed, Soft b^#-closed, Soft generalized b-I-Compact space